Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,

Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Answer:
2(3(8))+2(8)=64
Step-by-step explanation:
Here, w represents the width of the rectangle,
∵ length of the rectangle is 3 times the width of the rectangle,
So, length = 3w,
Since, the perimeter of a rectangle, P = 2(length + width)
= 2(w + 3w)
= 2w + 2(3w)
If P = 64 feet,
⇒ 2w +2(3w) = 64
⇒ 2w + 6w = 64
⇒ 8w = 64
⇒ w = 8
Verification :
P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet
Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64
Note : a solution obtain from an equation is verified by substituting the value in the equation.
Answer:

Step-by-step explanation:
The given ratio is 2:3.
x₁ = -3, x₂ = 2
We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

Put all the values,

Hence, the correct option is (d).
If you have three quarters and each is a value of 25¢ you add and get 75¢ and you add the $4 which gives you $4.75
Answer:

Step-by-step explanation:
Commission received on selling each storm window
of the selling price of each storm window
Commission received on selling each door
of the selling price of each door
Amount earned on selling storm windows = $5,400
Amount earned on selling doors = $28,790
Commission received on selling storm windows 
Commission received on selling doors 
Therefore,
Total commission received 